6. The slope of the tangent in the height vs. age graph is equal to the y-value of the corresponding point on the growth rate vs. age graph.
8. Colin's change in height from the interval from 5 to 10 years was .354 meters.This is found by subtracting the minimum height from the maximum height over the interval. (1.396-1.042=.354m).
9. The blue area under the growth rate vs. age graph represents the total growth during that interval. The value of this area is very similar to the change in height value found in number 8. This occurs because the units are year x meters/ year so years cancels out and you're left with just meters.
10. No, Colin was growing more rapidly as a small child than he was as a teenager because the growth rate was highest shortly after he was born and generally decreased after that. Shortly after birth Colin was growing around .19m/year. However, in his teens the highest growth rate was only around .045m/year.
6. The slope of the tangent in the height vs. age graph is equal to the y-value of the corresponding point on the growth rate vs. age graph.
8. Colin's change in height from the interval from 5 to 10 years was .354 meters.This is found by subtracting the minimum height from the maximum height over the interval. (1.396-1.042=.354m).
9. The blue area under the growth rate vs. age graph represents the total growth during that interval. The value of this area is very similar to the change in height value found in number 8. This occurs because the units are year x meters/ year so years cancels out and you're left with just meters.
10. No, Colin was growing more rapidly as a small child than he was as a teenager because the growth rate was highest shortly after he was born and generally decreased after that. Shortly after birth Colin was growing around .19m/year. However, in his teens the highest growth rate was only around .045m/year.